英语释义

• a union of two disjoint sets in which every element is the sum of an element from each of the disjoint sets

片语

orthogonal direct sum[数]

direct sum representation[数]

Direct sum of groupsIn mathematics, a group G is called the direct sum of a set of subgroups {Hi} if

direct-sum code直和码

direct sum of modulesIn abstract algebra, the direct sum is a construction which combines several modules into a new, larger module. The direct sum of modules is the smallest module which contains the given modules as submodules with no "unnecessary" constraints, making it an example of a coproduct.

direct-sum topological space[数]

external direct sum外直和

topological direct sum[数]

英汉例句

• When a direct sum of lifting modules is lifting is studied here.

  研究了提升模的任意直和在什么条件下仍是提升模。

• In this paper, we have discussed root subspace decomposition of linear space, and for the linear space have decomposed direct sum of root subspace, a primary proof is given.

  文章讨论了线性空间的根子空间分解，并对线性空间分解成根子空间的直和给出了较为初等的证明。

• The direct sum decomposition of the addition of a linear transformation under the coprime polynomial was given, and it was used in the proof of some equality about the rank of idempotent matrix.

  给出了两两互素多项式下线性变换的核的直和分解，并应用于幂等矩阵（对合矩阵）的秩的等式证明中。

• According to algebraic property that a direct sum of Galois fields is isomorphic to a finite ring, the linear block code for multiplexing systems is proposed.

  依据有限域直和与有限环同构的代数性质，对多路复用系统构造线性分组码。